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Finding the Fourth Proportional to 98,502.36, 147,776.91 and 31,942.50

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Solution

The fourth proportional to 98,502.36, 147,776.91 and 31,942.50 is: 47,921.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,502.36 : 147,776.91 = 31,942.50 : x
  2. Step 2: Convert to fraction form
    98,502.36/147,776.91 = 31,942.50/x
  3. Step 3: Cross multiply
    98,502.36x = 147,776.91 × 31,942.50
  4. Step 4: Simplify right side
    98,502.36x = 4,720,363,947.68
  5. Step 5: Solve for x
    x = 4,720,363,947.68/98,502.36
  6. Step 6: Final answer
    x = 47,921.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.